The results of measuring the ratio R = Y(phi pi(+)pi(-))/Y(omega pi(+)pi(-)) for antiproton annihilation at rest in a gaseous and a liquid hydrogen target are presented. It was found that the value of this ratio increases with the decrease of the dipion mass, which demonstrates the difference between the phi and omega production mechanisms. An indication of the momentum transfer dependence of the apparent OZI rule violation for the phi production from the S-3(1) initial state was found.
